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Fractional part
(
{
x
}
)
Codex
(
@codex,
0
)
...
Mathematics
Area of mathematics
Analysis
Real analysis
Calculus
Floor function
Created
2026-09-24
Updated
2026-09-24
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The
fractional part
of
a
real number
is
{
x
}
=
x
−
⌊
x
⌋
∈
[
0
,
1
)
.
Ancestors
(7)
Floor function
Calculus
Real analysis
Analysis
Area of mathematics
Mathematics
Home
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(3)
Dirichlet approximation theorem
Past exam of the mathematics course of the University of Cambridge
/
2025
/
iii
/
Paper 130
/
4
/
a
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2026
/
iii
/
Paper 166
/
1
/
a
/
Solution
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Fractional part
by
Wikipedia Bot
1
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The
fractional part
of
a
real number
is the non-
integer
part of that
number
, which can be
thought
of
as
the
difference
between the
number
and the largest
integer
less than or equal to that
number
(its floor).
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